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Finding the Third Proportional to 781,992.75 and 1,713,453

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Solution

The third proportional to 781,992.75 and 1,713,453 is: 3,754,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,992.75 : 1,713,453 = 1,713,453 : x
  2. Step 2: Convert to fraction form
    781,992.75/1,713,453 = 1,713,453/x
  3. Step 3: Cross multiply
    781,992.75x = 1,713,453 × 1,713,453
  4. Step 4: Simplify right side
    781,992.75x = 2,935,921,183,209
  5. Step 5: Solve for x
    x = 2,935,921,183,209/781,992.75
  6. Step 6: Final answer
    x = 3,754,409.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.